11742312960 has 480 divisors, whose sum is σ = 48533411520. Its totient is φ = 2683183104.

The previous prime is 11742312937. The next prime is 11742312971. The reversal of 11742312960 is 6921324711.

11742312960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385147 + ... + 3388613.

It is an arithmetic number, because the mean of its divisors is an integer number (101111274).

Almost surely, 2^11742312960 is an apocalyptic number.

11742312960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11742312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24266705760).

11742312960 is an abundant number, since it is smaller than the sum of its proper divisors (36791098560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11742312960 is an equidigital number, since it uses as much as digits as its factorization.

11742312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11742312960 in words is "eleven billion, seven hundred forty-two million, three hundred twelve thousand, nine hundred sixty".